Yes, scammers do try to impersonate AT&T and many other companies in text messages

Text message scams now outnumber phone call scams, according to a 2021 mid-year report from call-blocking service Robokiller. Texts have been the most common type of scams since August 2020. VERIFY viewers sent screenshots of text messages they suspected of being examples of scams. Their screenshots showed text messages that began with “AT&T Free Msg” and ended with what appeared to be a shortened URL.